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13330384 = 2473101113
BaseRepresentation
bin110010110110…
…011111010000
3221002020211221
4302312133100
511403033014
61153414424
7221210044
oct62663720
927066757
1013330384
117585351
12456a414
1329b9702
141ab0024
151284b24
hexcb67d0

13330384 has 40 divisors (see below), whose sum is σ = 26674632. Its totient is φ = 6451200.

The previous prime is 13330379. The next prime is 13330423. The reversal of 13330384 is 48303331.

It can be written as a sum of positive squares in 4 ways, for example, as 1960000 + 11370384 = 1400^2 + 3372^2 .

It is a Smith number, since the sum of its digits (25) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 117912 + ... + 118024.

Almost surely, 213330384 is an apocalyptic number.

It is an amenable number.

13330384 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

13330384 is a wasteful number, since it uses less digits than its factorization.

13330384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295 (or 289 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 25.

The square root of 13330384 is about 3651.0798402664. The cubic root of 13330384 is about 237.1087349034.

The spelling of 13330384 in words is "thirteen million, three hundred thirty thousand, three hundred eighty-four".

Divisors: 1 2 4 8 16 73 101 113 146 202 226 292 404 452 584 808 904 1168 1616 1808 7373 8249 11413 14746 16498 22826 29492 32996 45652 58984 65992 91304 117968 131984 182608 833149 1666298 3332596 6665192 13330384